A Pile of Shifts II: Structure and -Theory

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Authors: Hebert, Shelley, Klimek, Slawomir, McBride, Matt, Peoples, J. Wilson
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/213180
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A Pile of Shifts II: Structure and -Theory. Shelley Hebert, Slawomir Klimek, Matt McBride and J. Wilson Peoples. SIGMA 21 (2025), 035, 22 pages

We discuss *-algebras associated with several different natural shifts on the Hilbert space of the -adic tree, continuing the analysis from [Banach J. Math. Anal. 19 (2025), 32, 30 pages, arXiv:2412.00854] and in particular, we describe their structure and compute the -theory groups.